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Finding the Fourth Proportional to 431,242.50, 646,008.09 and 203,225.88

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Solution

The fourth proportional to 431,242.50, 646,008.09 and 203,225.88 is: 304,435.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,242.50 : 646,008.09 = 203,225.88 : x
  2. Step 2: Convert to fraction form
    431,242.50/646,008.09 = 203,225.88/x
  3. Step 3: Cross multiply
    431,242.50x = 646,008.09 × 203,225.88
  4. Step 4: Simplify right side
    431,242.50x = 131,285,562,577.37
  5. Step 5: Solve for x
    x = 131,285,562,577.37/431,242.50
  6. Step 6: Final answer
    x = 304,435.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.